Finding the Fourth Proportional to 6,200.20, 9,288.12 and 3,727.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,200.20 : 9,288.12 = 3,727.72 : x
2. Step 2: Convert to fraction form
   6,200.20/9,288.12 = 3,727.72/x
3. Step 3: Cross multiply
   6,200.20x = 9,288.12 × 3,727.72
4. Step 4: Simplify right side
   6,200.20x = 34,623,510.69
5. Step 5: Solve for x
   x = 34,623,510.69/6,200.20
6. Step 6: Final answer
   x = 5,584.26